Question
An infinite combination of resistors, each having resistance R=4 , is given below. What is the net resistance between the points A and B ? (Each resistance is of equal value, R=4 )
NDA
General Ability
General Science
2024
NDA 2024 (Phase 1)
NDA General Ability Question (2024) — Solution
Options
- A. 0
- B. 2+2 5
- C. 2+ 5
- D.
Answer
B. 2+2 5
Step-by-step solution
Equivalent Resistance, array r y= R + R \| y \\ y= R + R y R +y \\ y= R ^2+ R y+ R y R +y \\ R y+y^2= R ^2+2 R y \\ y^2-4 y-16=0 \\ R _ eq or y=2+2 5 ohm array
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